Question 880649
{{{(3+2i)(5-8i)}}}



{{{3(5-8i)+2i(5-8i)}}} Use the rule {{{(a+b)(c+d)=a(c+d)+b(c+d)}}}



{{{3(5)+3(-8i)+2i(5)+2i(-8i)}}}



{{{15-24i+10i-16i^2}}}



{{{15-24i+10i-16(-1)}}}



{{{15-24i+10i+16}}}



{{{31-14i}}}



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So,{{{(3+2i)(5-8i)=31-14i}}}